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School

University of Toronto Scarborough

Department

Statistics

Course

STAB22H3

Professor

Michael Krashinsky

Semester

Fall

Description

Pre-Lecture Twenty Four
▯ Earlier in the course we looked at organizing data containing individuals as-
signed to combinations of categories of two categorical variables into two way
tables.
▯ In each cell was recorded the count of the number of individuals in the data set
that fell into that combination of categories of the two categorical variables.
▯ We extracted information about the association (or lack of association) be-
tween the two categorical variables by describing, among other things, condi-
tional distributions between the two variables.
▯ It turns out that there is actually a test that we can perform to ▯nd evidence
(or insu▯cient evidence) to reject the hypothesis that the two categorical
variables are independent.
▯ Suppose that A is a categorical variable with a categories and B is a categorical
variable with b categories, the hypotheses are:
H 0 The two variables are independent.